Categories of nonstandard highest weight modules for affine Lie algebras

DOI10.1007/PL00004513zbMath0851.17025OpenAlexW2026956638MaRDI QIDQ1910193

Duncan J. Melville, Ben L. Cox, Vyacheslav M. Futorny

Publication date: 19 May 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174844

zbMATH Keywords

representationaffine Kac-Moody Lie algebrasBGG dualitygeneralized strong BGG resolutionnonstandard generalized Verma modulesnonstandard highest weight modulestruncated category

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Homological methods in Lie (super)algebras (17B55)

Related Items (4)

Verma type modules of level zero for affine Lie algebras ⋮ A reduction theorem for highest weight modules over toroidal Lie algebras ⋮ Verma-type modules for quantum affine Lie algebras ⋮ Imaginary crystal bases for 𝑈_{𝑞}(̂𝔰𝔩(2))-modules in category 𝒪^{𝓆}_{𝓇ℯ𝒹,𝒾𝓂}

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